Question:
Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.
If Akbar and Anthony wear the same colour of shirts, then which of the following is not true?
Amar, Akbar and Anthony are three friends. Only three colours are available for their shirts, viz. red, green and blue. Amar does not wear red shirt. Akbar does not wear green shirt. Anthony does not wear blue shirt.
If Akbar and Anthony wear the same colour of shirts, then which of the following is not true?
Show Hint
Always check each constraint for all possibilities and eliminate the ones that violate the given conditions.
Updated On: Aug 4, 2025
- Amar wears blue and Akbar wears green
- Amar wears green and Akbar wears red
- Amar wears blue and Akbar does not wear blue
- Anthony wears red
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
We are given the following conditions:
- Amar does not wear a red shirt.
- Akbar does not wear a green shirt.
- Anthony does not wear a blue shirt.
Let’s analyze each option:
- Option (A) Amar wears blue and Akbar wears green: Since Akbar cannot wear a green shirt, this is false.
- Option (B) Amar wears green and Akbar wears red: This is possible since both Amar and Akbar can wear green and red respectively.
- Option (C) Amar wears blue and Akbar does not wear blue: This is possible since Akbar can wear red and Amar wears blue.
- Option (D) Anthony wears red: This is possible since Amar does not wear red, so Anthony can wear red.
Thus, the correct answer is (A).
Was this answer helpful?
0
0
Top Questions on Algebra
- If \( 1 < x < y < z \), which of the following has the greatest value?
- If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
- If y = 3, then y³(y³-y) =
- If r = 5 z then 15 z = 3 y, then r =
- If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
View More Questions
Questions Asked in CAT exam
- Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?- CAT - 2024
- Algebra
- The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
- CAT - 2024
- Logarithms
- ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is
- CAT - 2024
- Mensuration
When $10^{100}$ is divided by 7, the remainder is ?
- CAT - 2024
- Basics of Numbers
- If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?
- CAT - 2024
- Algebra
View More Questions